## anonymous 4 years ago A function is given. Determine the average rate of change of the function between f(x) = 2 − x^2; x = 6, x = 6 + h

1. UnkleRhaukus

$f(x)=2-x^2$ $f'(x)={f(x+h)-f(x)\over h}$ $f'(6)={[2-(6+h)^2]-[2-6^2]\over h}$$={2-6^2+12h+h^2 -2+6^2\over h}$$={12h+h^2 \over h}$$=12+1/h$$=12$

2. anonymous

=-12-h

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